1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rusak2 [61]
3 years ago
15

In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sum of t

he other angles. Which of the following could represent the measures of the three angles?
Mathematics
1 answer:
rjkz [21]3 years ago
7 0

<span> Hi

As stated:

x , the first
2x, the second

3x, the third (sum of first two)

x + 2x + 3x = 180°
6x = 180°
x = 30°

Measures of the Angles would be 30°, 60°, 90°

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
You might be interested in
What is the essence of calculus? <br>*friendship​
iragen [17]

Differential Calculus, or Differentiation

If we have a function of one variable, ie of the form y=f(x), then in its most basic form differentiation is the study of how a small change in one variable x affects the other variable y.

As an real life example, consider the average speed of a moving car:

average speed = distance travelled/ time taken

Obviously, this is an average by definition, but if there existed a formal mathematical link between distance and time, could we build a function that would tell us the instantaneous velocity at every given moment? The study of differential calculus gives strategies for calculating the ratio of a little change in distance to a small change in time, and then calculating the real instantaneous speed by making the small change infinitely small.

Similarly if we wanted to find the gradient of the tangent to a curve at some particular point A we would estimate the gradient by using a chord to a nearby point B. As we move this nearby point B  closer to the tangent point A the slope of the chord approaches the slope of the tangent with more and more accuracy. Again differential calculus provides techniques for us to make the point B infinitesimally close to the point A o that we can calculate the actual gradient of the tangent.

Integral Calculus, or Integration

Suppose we wanted to calculate the area under a curve, y=f(x),  bounded the x =axis, and two points a and b. We could start by splitting the interval  [a,b]  into n regular strips, and estimating the area under the curve using trapezia (this is the essence of the trapezium rule which provides an estimate of such an area). If we increase n then generally we would hope for a better approximation. The study of integration provides techniques for us to take an infinitely large number of infinitesimally small strips to gain an exact solution.

The Fundamental Theorem of Calculus

Given the above two notions, it would appear that there is no connection between them at first., The Fundamental Theorem of Calculus, on the other hand, is a theorem that connects the rate of change of the area function (which determines the area under a curve) to the function itself. In other words, the area function's derivative equals the function itself.

Visual for  Fundamental Theorem of Calculus for integrals:

\int\limits^b_af {(x)} \, dx =F(b)-F(a).

where F is an antiderivative of f

Physics, Chemistry, all engineering sciences, statistics, economics, finance, biology, computer science, linguistics, to name but a few, are all areas that would be a desert without the use of calculus.

Leibnitz and Newton worked to define the velocity of a planet moving on a curved trajectory. That was not possible without calculus, and both had to invent differential calculus. Differential calculus allows to compare quantities along a curve, and thus their time rate of change.

All of classical physics can be summarized in this operation. Given second derivative (which is Force/mass), find the position as a function of time. This process is called integration. Half of calculus is made with integration, the other half with derivation. All of classical physics rests on these two parts of the calculus.

Quantum mechanics, quantum field theory, electromagnetism, fluid mechanics all use integration and derivation and much more. I rest my case. I hope this helps you gauge the place that calculus occupies in science.

4 0
1 year ago
Read 2 more answers
What is the median number of 4,8,10,5,9
Nady [450]
The answer is 10. because median means middle so 10 is the middle #.
5 0
3 years ago
Read 2 more answers
When Devon cashed a $450 check at the bank, the teller gave him 18 bills, all $20 bills and $50 bills. Which system of equations
Neporo4naja [7]
B is the answer to the equation
7 0
3 years ago
A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If th
finlep [7]

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

\mathbf{H_o:} the population correlation coefficient is equal to zero

\mathbf{H_a:} the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }

t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }

t =\dfrac{0.60 *4.796} {0.8}

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

6 0
3 years ago
What is the square root of:<br><br>a) 58.82<br>b) 10
natka813 [3]
Square root of A= 7.66 ( Took the first 2 numbers after the decimal.)
Square root of B= 3.16 (Took the first 2 numbers after the decimal.)
HOPE THIS HELPS! ^_^
7 0
3 years ago
Other questions:
  • DF = 6 cm
    15·1 answer
  • Consider the function represented by the equation 6q = 3s - 9. Write the equation in function notation, where q is the independe
    13·1 answer
  • 20. Seventy is 60% of what number?
    5·1 answer
  • what is the slope between the two points (0,5) and (-2,3) THE ANSWER I GOT IS (1) IS THAT CORRECT​
    12·1 answer
  • 49. Given f(x) =2x^2+5 and g(x) =3x^3, what is f(x)x g(x)?
    15·1 answer
  • Which is an equation of a direct proportion?
    11·1 answer
  • Find the value of x in the figure shown.
    5·2 answers
  • Estimate the sum of 8.43 + 8.12 + 7.98
    5·2 answers
  • Questions 5)
    9·1 answer
  • From his eye, which stands 1.63 meters above the ground, Isaac measures the angle
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!